Review: Inscribed Polygons

Front

What is an inscribed polygon?

Back

An inscribed polygon is a polygon whose vertices all lie on a single circle.

Front

What is the relationship between the angles of an inscribed polygon and the arcs they subtend?

Back

The measure of an inscribed angle is half the measure of the arc it subtends.

Front

If an inscribed angle intercepts an arc of 80°, what is the measure of the angle?

Back

40°

Front

What is the measure of an arc if the inscribed angle that intercepts it measures 50°?

Back

100°

Front

How do you find the measure of an arc given two inscribed angles that intercept it?

Back

The measure of the arc is equal to the average of the measures of the two inscribed angles.

Front

If angle A and angle B are inscribed angles that intercept the same arc, what can be said about their measures?

Back

Angle A and angle B are equal.

Front

What is the sum of the interior angles of a polygon with n sides?

Back

The sum of the interior angles is (n-2) × 180°.

Front

How do you find the measure of an exterior angle of a polygon?

Back

The measure of an exterior angle is 360° divided by the number of sides of the polygon.

Front

What is the measure of an inscribed angle that intercepts an arc of 120°?

Back

60°

Front

If the measure of arc AB is 90°, what is the measure of the inscribed angle that intercepts it?

Back

45°